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APPROXIMATION OF MONOTONE FUNCTIONS BY MONOTONE POLYNOMIALS [PDF]

Russian Academy of Sciences. Sbornik Mathematics, 1993
The following theorem is proved for the case .Theorem. If , , , and the function is nondecreasing on and has continuous derivatives, then for each positive integer there is an algebraic polynomial of degree that is nondecreasing on and such that for all where is the th-order modulus of continuity of the function .Bibliography: 16 titles.
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Monotonic Stabilization

2010
Self-stabilization guarantees convergence to a legitimate configuration in every execution starting from any initial configuration. However, during convergence, most self-stabilizing protocols make unnecessary output changes that do not directly contribute to the progress of convergence.We define and study monotonic stabilization, where every output ...
Yamauchi, Yukiko, Tixeuil, Sébastien
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Stochastic Monotonicity and Monotonicity of the Value Functions

2016
We consider MDPs and CMs with structured state space and arbitrary transition law. We assume that the minimal assumption (MA1) holds. As in Chap. 6 we are looking for conditions under which the value functions are monotone in the initial state s. This is easy for CMs, but requires a thorough treatment of the notion of stochastic monotonicity for MDPs ...
Karl Hinderer, Ulrich Rieder, Michael Stieglitz   +2 more
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Elements of Monotonic Analysis: Monotonic Functions

2000
The theory of IPH functions defined on either the cone ℝ ++ n or the cone ℝ + n can be applied in the study of various classes of monotonic functions. One of possible approaches in this direction is to use the hypographs of decreasing functions and the epigraphs of increasing functions.
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Mean field games master equations with nonseparable Hamiltonians and displacement monotonicity

Annals of Probability, 2022
exaly  

On the Monotonicity of Interval Type-2 Fuzzy Logic Systems

IEEE Transactions on Fuzzy Systems, 2014
Chengdong Li, Jianqiang Yi
exaly  

Neural Oscillation Profiles of a Premise Monotonicity Effect During Semantic Category-Based Induction

Frontiers in Human Neuroscience, 2019
Feng Xiao, Changquan Long
exaly  

Monotonicity is a key feature of genotype-phenotype maps

Frontiers in Genetics, 2013
Arne B Gjuvsland, Yunpeng Wang
exaly  

Monotonicity of control volume methods

Numerische Mathematik, 2007
Jan Martin Nordbotten
exaly  

Optimized sixth‐order monotonicity‐preserving scheme by nonlinear spectral analysis

International Journal for Numerical Methods in Fluids, 2013
Xinliang Li
exaly